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Weighted Stepanov‐Like Pseudoperiodicity and Applications

Author

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  • Zhinan Xia

Abstract

By the weighted ergodic space, we propose a new class of functions called weighted Stepanov‐like pseudoperiodic function and explore its properties. Furthermore, the existence and uniqueness of the weighted pseudoperiodic solution to fractional integro‐differential equations and nonautonomous differential equations are investigated. Some interesting examples are presented to illustrate the main findings.

Suggested Citation

  • Zhinan Xia, 2014. "Weighted Stepanov‐Like Pseudoperiodicity and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:980869
    DOI: 10.1155/2014/980869
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    References listed on IDEAS

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    1. Zdeněk Šmarda, 2011. "Bounds of Solutions of Integrodifferential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. Yulin Zhao & Li Huang & Xuebin Wang & Xianyang Zhu, 2012. "Existence of Solutions for Fractional Integro‐Differential Equation with Multipoint Boundary Value Problem in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Yulin Zhao & Li Huang & Xuebin Wang & Xianyang Zhu, 2012. "Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-19, December.
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